Numerical Simulation of Conformable Fuzzy Differential Equations

Al‐Smadi, Mohammed

doi:10.1007/978-3-030-43002-3_10

Cited by 4 publications

(1 citation statement)

References 28 publications

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“…Fuzzy conformable derivative of order Ψ was introduced by ([24], [25]) and used in [26] to solve fuzzy conformable differential equations. But they solved fuzzy differential equations with numerical techniques.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solutions of Fuzzy Linear Differential Equations in the Conformable Setting

Younus¹,

Asif²,

Atta³

et al. 2021

J Frac Calc & Nonlinear Sys

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In this paper, we provide the generalization of two predefined concepts under the name fuzzy conformable differential equations. We solve the fuzzy conformable ordinary differential equations under the strongly generalized conformable derivative. For the order $\Psi$, we use two methods. The first technique is to resolve a fuzzy conformable differential equation into two systems of differential equations according to the two types of derivatives. The second method solves fuzzy conformable differential equations of order $\Psi$ by a variation of the constant formula. Moreover, we generalize our results to solve fuzzy conformable ordinary differential equations of a higher order. Further, we provide some examples in each section for the sake of demonstration of our results.

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Section: Introductionmentioning

confidence: 99%

Analytical Solutions of Fuzzy Linear Differential Equations in the Conformable Setting

Younus¹,

Asif²,

Atta³

et al. 2021

J Frac Calc & Nonlinear Sys

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show abstract

Applications of fuzzy conformable Laplace transforms for solving fuzzy conformable differential equations

et al. 2023

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A Review on Fuzzy Differential Equations

Mazandarani¹,

Li²

2021

IEEE Access

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Since the term "Fuzzy differential equations" (FDEs) emerged in the literature in 1978, prevailing research effort has been dedicated not only to the development of the concepts concerning the topic, but also to its potential applications. This paper presents a chronological survey on fuzzy differential equations of integer and fractional orders. Attention is concentrated on the FDEs in which a definition of fuzzy derivative of a fuzzy number-valued function has been taken into account. The chronological rationale behind considering FDEs under each concept of fuzzy derivative is highlighted. The pros and cons of each approach dealing with FDEs are also discussed. Moreover, some of the proposed FDEs applications and methods for solving them are investigated. Finally, some of the future perspectives and challenges of fuzzy differential equations are discussed based on our personal view point.

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Numerical Simulation of Conformable Fuzzy Differential Equations

Cited by 4 publications

References 28 publications

Analytical Solutions of Fuzzy Linear Differential Equations in the Conformable Setting

Analytical Solutions of Fuzzy Linear Differential Equations in the Conformable Setting

Applications of fuzzy conformable Laplace transforms for solving fuzzy conformable differential equations

A Review on Fuzzy Differential Equations

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